Calabi-Yau manifolds from N =2 Landau-Ginzburg superconformal theories

Journal Article · Tue Nov 14 23:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3378· OSTI ID:5220267

Kim, J K; Park, C J; Yoon, Y ^[1]

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1. Department of Physics, Korea Advanced Institute of Science and Technology, P.O. Box 150, Cheongryang, Seoul, Korea (KR)

We consider the algebraic representations of Calabi-Yau manifolds corresponding to {ital N}=2 Landau-Ginzburg superconformal theories. For the 168 tensor products of minimal models giving central charge 9, which have diagonal configuration matrices, we obtain all algebraic representations and their Euler characteristics. It is found that the previous nongeometric results of the massless spectrum of Gepner's minimal models are in good agreement with these geometric results for the Calabi-Yau hypersurfaces of WCP{sup 4}. We also consider nonminimal cases, which correspond to Calabi-Yau manifolds from complete intersections in products of WCP{sup {ital N}}.

• OSTI ID: 5220267
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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FIELD THEORIES
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GAUGE INVARIANCE
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